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Finding the Third Proportional to 25,666.88 and 39,727.13

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Solution

The third proportional to 25,666.88 and 39,727.13 is: 61,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.88 : 39,727.13 = 39,727.13 : x
  2. Step 2: Convert to fraction form
    25,666.88/39,727.13 = 39,727.13/x
  3. Step 3: Cross multiply
    25,666.88x = 39,727.13 × 39,727.13
  4. Step 4: Simplify right side
    25,666.88x = 1,578,244,460.77
  5. Step 5: Solve for x
    x = 1,578,244,460.77/25,666.88
  6. Step 6: Final answer
    x = 61,489.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.